In this lesson, we will learn how to define the inverse of both sine and cosine functions.
Inverse of Sine Function
For the function y = sin x, the inverse function is defined by x = sin–1y, where –1 ≤ y ≤ 1. This means that x is the function of an angle whose sine equals y. Thus, we can deduce the function y from x and vice versa. For example, if x = sin–1.45, then sin x = .45, or if sin x = .77 then x = sin–1.77.